3 papers
math.GT2025
Cluster algebras and skein algebras for surfaces
Hiroaki Karuo, Han-Bom Moon, Helen Wong
We consider two algebras of curves associated to an oriented surface of finite type - the cluster algebra from combinatorial algebra, and the skein algebra from quantum topology. W…
math.GT2025
Center of generalized skein algebras
Hiroaki Karuo, Han-Bom Moon, Helen Wong
We consider a generalization of the Kauffman bracket skein algebra of a surface that is generated by loops and arcs between marked points on the interior or boundary, up to skein r…
math.AG2023
Derived categories of symmetric products and moduli spaces of vector bundles on a curve
Kyoung-Seog Lee, Han-Bom Moon
We show that the derived categories of symmetric products of a curve are embedded into the derived categories of the moduli spaces of vector bundles of large ranks on the curve. It…